Yoneda representations of flat functors and classifying toposes - Mathematics > Category TheoryReport as inadecuate




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Abstract: In this paper, we first introduce a technique that we call -Yonedarepresentation of flat functors-, based on ideas from indexed category theory;then we provide applications of this technique to the theory of classifyingtoposes. Specifically, we obtain results characterizing the models of a theoryclassified by a topos of the form ShC,J in terms of the models of a theoryclassified by the topos C^op, Set.



Author: Olivia Caramello

Source: https://arxiv.org/







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